Finite groups with all 3-maximal subgroups K-U-subnormal

TL;DR

This paper classifies finite groups where every 3-maximal subgroup exhibits K-U-subnormality, providing a comprehensive understanding of their structure and subgroup properties.

Contribution

It introduces a complete classification of finite groups with all 3-maximal subgroups being K-U-subnormal, a novel subgroup property.

Findings

Characterization of such groups

Structural properties identified

Complete classification achieved

Abstract

A classification of finite groups in which every 3-maximal subgroup is K-U-subnormal is given.